# Line slope calculator 8x+3y=24

**Straight line given by points A[0; 8] and B[3; 0]**

## Calculation:

**Slope-intercept form of line:**y = -2.6667x+8

**Canonical form of the line equation:**8x+3y-24 = 0

**Parametric form of the line equation:**

x = 3t

y = -8t+8 ; t ∈ R

**Slope:**m = -2.6667

**Slope angle of line: φ =**-69°26'38″ = -1.212 rad

**X intercept:**x

_{0}= 3

**Y intercept:**y

_{0}= q = 8

**Distance line from the origin:**d

_{0}= 2.809

**The length of the segment AB: |AB| =**8.544

**Vector: AB =**(3; -8)

**Normal vector: n =**(8; 3)

**Midpoint of the segment AB: M =**[1.5; 4]

**Perpendicular Bisector equation:**3x-8y+27.5 = 0

**Vector OA = (0; 8) ; |OA| = 8**

**Vector OB = (3; 0) ; |OB| = 3**

**Scalar product OA .OB = 0**

**Angle ∠ AOB = 90° = 1.5708 rad**